Assume we have ten voice channels, each occupying a bandwidth of 15 kHz. We need to combine these channels into a link ranging from 200 kHz to 400 kHz with guard bands of 5 kHz between each channel. a. Show the configuration in the frequency domain. b. Calculate the total bandwidth required for all channels and guard bands. c. Allocate frequencies for each channel within the specified range.
Question
Assume we have ten voice channels, each occupying a bandwidth of 15 kHz. We need to combine these channels into a link ranging from 200 kHz to 400 kHz with guard bands of 5 kHz between each channel. a. Show the configuration in the frequency domain. b. Calculate the total bandwidth required for all channels and guard bands. c. Allocate frequencies for each channel within the specified range.
Solution
a. Configuration in the frequency domain:
The configuration in the frequency domain would look like this:
200 kHz (start of link) - Channel 1 (15 kHz) - Guard band (5 kHz) - Channel 2 (15 kHz) - Guard band (5 kHz) - Channel 3 (15 kHz) - Guard band (5 kHz) - Channel 4 (15 kHz) - Guard band (5 kHz) - Channel 5 (15 kHz) - Guard band (5 kHz) - Channel 6 (15 kHz) - Guard band (5 kHz) - Channel 7 (15 kHz) - Guard band (5 kHz) - Channel 8 (15 kHz) - Guard band (5 kHz) - Channel 9 (15 kHz) - Guard band (5 kHz) - Channel 10 (15 kHz) - 400 kHz (end of link)
b. Total bandwidth required for all channels and guard bands:
The total bandwidth required for all channels and guard bands can be calculated as follows:
Total bandwidth for channels = Number of channels * Bandwidth per channel Total bandwidth for channels = 10 channels * 15 kHz/channel = 150 kHz
Total bandwidth for guard bands = Number of guard bands * Bandwidth per guard band Total bandwidth for guard bands = 9 guard bands * 5 kHz/guard band = 45 kHz
Total bandwidth required = Total bandwidth for channels + Total bandwidth for guard bands Total bandwidth required = 150 kHz + 45 kHz = 195 kHz
c. Allocation of frequencies for each channel within the specified range:
The allocation of frequencies for each channel within the specified range would look like this:
Channel 1: 200 kHz to 215 kHz Channel 2: 220 kHz to 235 kHz Channel 3: 240 kHz to 255 kHz Channel 4: 260 kHz to 275 kHz Channel 5: 280 kHz to 295 kHz Channel 6: 300 kHz to 315 kHz Channel 7: 320 kHz to 335 kHz Channel 8: 340 kHz to 355 kHz Channel 9: 360 kHz to 375 kHz Channel 10: 380 kHz to 395 kHz
Please note that the frequencies for each channel are calculated by adding the bandwidth of the channel and the guard band to the end frequency of the previous channel.
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